Tractive rolling of dissimilar elastic cylinders
The rolling contact of two dissimilar elastic cylinders has been studied, and solutions obtained by representing the shear tractions as a series of Chebyshev polynomials. Consistent solutions have been found for the shear traction distribution under a wide range of elastic constants and nett tangential forces. These enable the prevailing stick/slip regime to be deduced and the stick boundaries determined. Comprehensive results for the creep ratio between the rollers and the frictional losses produced by the contact are given. The results are compared with the piece-wise linear solutions of \textit{R. H. Bentall} and \textit{K. L. Johnson} [ibid. 9, 389-404 (1967)], and \textit{J. J. Kalker} [J. Appl. Mech. 38, 875-880, 881- 887 (1971; Zbl 0233.73135)]. Good agreement is found in all cases.
scientific article; zbMATH DE number 4106419